My dad had surgery as a child in the 60s. They had tried patching and glasses but he refused to wear them and kept trying to break them (the old school milk bottle like NHS glasses!)
He is mid 60s now you can tell when he's tired as he's eyes don't always move as you would expect. His opthalmologist has praised the surgeon he had as a kid as his vision is no worse than you would expect for the average person of his age. He managed without glasses for about 5-10 year when I was a child after I broke them as a toddler and they couldn't afford to replace them and his depth perception adjusted.
My father in law has practically no vision in one eye for other reasons. He has plain glass on that side of his glasses as it's such a high prescription and his brain has adapted to only viewing through his good eye. To the best of my knowledge the only time this has caused issues was when he had cataracts. The cataracts in the bad eye was operated on first but then they said he couldn't have the second one done because he had an eye without a cataract. His opticians wrote to the GP saying that eye doesn't have sufficient vision and they booked him the surgery.
I don't have a squint but my eyes don't work together and this causes me to have double vision. I was told as a child I couldn't have prism lens as my eyes would get reliant on them and it would make them worse. As it happens having the prism lens have improved my double vision and now I only have to wear my glasses when tired or stressed. I very rarely get tension headaches, my migraines have reduced and I rarely feel my eyes struggling to stay together. These all plagued my life from 14 to 21 when I got my prism lens. I wish I had got them earlier and asked about what the risks were, what the consequences of having the prisms, what the consequences of continuing as I was without my eyes working together. Adult me would ask different questions.
I would be asking for comparison of what you might expect with or without the surgery. What to expect with or without the patching and glasses and so on. Ask for a second opinion if you need. If you don't understand the rationale for a decision ask for further explanations. We all feel better about decision when we feel like are making informed decisions. It might have been the right decision for me to wait for the prisms but I don't feel that at the time I had the information to say that waiting over trying them at that moment in time.
We have had this with a dentist, one where they were recommending potentially capping one of my daughters teeth due to acid reflux. The second said that wouldn't be an option and it would need removing. The following visit said it would be an option but let's wait. 2 years later with regular fluoride treatment she had no further deterioration and needed neither, she's had a no drill filling just for extra protection.